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Finding the Third Proportional to 81,197,235 and 191,610,967.50

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Solution

The third proportional to 81,197,235 and 191,610,967.50 is: 452,167,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,197,235 : 191,610,967.50 = 191,610,967.50 : x
  2. Step 2: Convert to fraction form
    81,197,235/191,610,967.50 = 191,610,967.50/x
  3. Step 3: Cross multiply
    81,197,235x = 191,610,967.50 × 191,610,967.50
  4. Step 4: Simplify right side
    81,197,235x = 36,714,762,866,286,056
  5. Step 5: Solve for x
    x = 36,714,762,866,286,056/81,197,235
  6. Step 6: Final answer
    x = 452,167,649.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.